126963 has 6 divisors (see below), whose sum is σ = 183404. Its totient is φ = 84636.

The previous prime is 126961. The next prime is 126967. The reversal of 126963 is 369621.

It is a happy number.

126963 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 126963 - 2¹ = 126961 is a prime.

It is a super-2 number, since 2×126963² = 32239206738, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (126961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7045 + ... + 7062.

2¹²⁶⁹⁶³ is an apocalyptic number.

126963 is a deficient number, since it is larger than the sum of its proper divisors (56441).

126963 is a wasteful number, since it uses less digits than its factorization.

126963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14113 (or 14110 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 126963 is about 356.3186775907. The cubic root of 126963 is about 50.2603750761.

It can be divided in two parts, 126 and 963, that added together give a square (1089 = 33²).

The spelling of 126963 in words is "one hundred twenty-six thousand, nine hundred sixty-three".